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Finding the Fourth Proportional to 83,380.44, 115,065 and 45,654.66

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Solution

The fourth proportional to 83,380.44, 115,065 and 45,654.66 is: 63,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,380.44 : 115,065 = 45,654.66 : x
  2. Step 2: Convert to fraction form
    83,380.44/115,065 = 45,654.66/x
  3. Step 3: Cross multiply
    83,380.44x = 115,065 × 45,654.66
  4. Step 4: Simplify right side
    83,380.44x = 5,253,253,452.90
  5. Step 5: Solve for x
    x = 5,253,253,452.90/83,380.44
  6. Step 6: Final answer
    x = 63,003.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.